(x-10)(x-3)=(x+5)(x+5)

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Solution for (x-10)(x-3)=(x+5)(x+5) equation: 


Simplifying
(x + -10)(x + -3) = (x + 5)(x + 5)

Reorder the terms:
(-10 + x)(x + -3) = (x + 5)(x + 5)

Reorder the terms:
(-10 + x)(-3 + x) = (x + 5)(x + 5)

Multiply (-10 + x) * (-3 + x)
(-10(-3 + x) + x(-3 + x)) = (x + 5)(x + 5)
((-3 * -10 + x * -10) + x(-3 + x)) = (x + 5)(x + 5)
((30 + -10x) + x(-3 + x)) = (x + 5)(x + 5)
(30 + -10x + (-3 * x + x * x)) = (x + 5)(x + 5)
(30 + -10x + (-3x + x2)) = (x + 5)(x + 5)

Combine like terms: -10x + -3x = -13x
(30 + -13x + x2) = (x + 5)(x + 5)

Reorder the terms:
30 + -13x + x2 = (5 + x)(x + 5)

Reorder the terms:
30 + -13x + x2 = (5 + x)(5 + x)

Multiply (5 + x) * (5 + x)
30 + -13x + x2 = (5(5 + x) + x(5 + x))
30 + -13x + x2 = ((5 * 5 + x * 5) + x(5 + x))
30 + -13x + x2 = ((25 + 5x) + x(5 + x))
30 + -13x + x2 = (25 + 5x + (5 * x + x * x))
30 + -13x + x2 = (25 + 5x + (5x + x2))

Combine like terms: 5x + 5x = 10x
30 + -13x + x2 = (25 + 10x + x2)

Add '-1x2' to each side of the equation.
30 + -13x + x2 + -1x2 = 25 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -13x + 0 = 25 + 10x + x2 + -1x2
30 + -13x = 25 + 10x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
30 + -13x = 25 + 10x + 0
30 + -13x = 25 + 10x

Solving
30 + -13x = 25 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
30 + -13x + -10x = 25 + 10x + -10x

Combine like terms: -13x + -10x = -23x
30 + -23x = 25 + 10x + -10x

Combine like terms: 10x + -10x = 0
30 + -23x = 25 + 0
30 + -23x = 25

Add '-30' to each side of the equation.
30 + -30 + -23x = 25 + -30

Combine like terms: 30 + -30 = 0
0 + -23x = 25 + -30
-23x = 25 + -30

Combine like terms: 25 + -30 = -5
-23x = -5

Divide each side by '-23'.
x = 0.2173913043

Simplifying
x = 0.2173913043

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